{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#4th-order quadrature example\n",
    "\n",
    "Ported from the MATLAB file `dsexample4.m`, written by R. Schreier."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Preliminary code to set-up IPython:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from __future__ import division\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from pylab import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the `deltasigma` module."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import deltasigma as ds"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ADC specifications\n",
    "\n",
    "Specify the parameters of the the ADC design:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "order = 4\n",
    "osr = 32\n",
    "M = 8\n",
    "NG = -50\n",
    "ING = -10\n",
    "f0 = 1 / 16\n",
    "quadrature = True\n",
    "form = 'PFB'\n",
    "nlev = M + 1\n",
    "z0 = np.exp(1j*2*np.pi*f0)\n",
    "bw = 1./osr\n",
    "delta = 2\n",
    "FullScale = M"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ADC specifications up to now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "adc = {}\n",
    "adc['order'] = order\n",
    "adc['osr'] = osr\n",
    "adc['M'] = M\n",
    "adc['f0'] = f0\n",
    "adc['quadrature'] = quadrature\n",
    "adc['form'] = form"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Choosing the NTF and realization... "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ntf0 = \n",
      "\n",
      "  (z - 0.888 - 0.4598j) (z - 0.9239 + 0.3827j) (z - 0.9239 - 0.3827j) (z - 0.953 - 0.3028j)  \n",
      "---------------------------------------------------------------------------------------------\n",
      " (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n"
     ]
    }
   ],
   "source": [
    "ntf0 = ds.synthesizeQNTF(order, osr, f0, NG, ING)\n",
    "print('ntf0 = \\n')\n",
    "print(ds.pretty_lti(ntf0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ABCD matrix: \n",
      "\n",
      "[[ 0.88803720 +4.59771611e-01j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j\n",
      "   0.05160829 +0.00000000e+00j  0.05160829 +1.73472348e-18j]\n",
      " [ 0.60725927 +7.94503732e-01j  0.95304475 +3.02829501e-01j\n",
      "   0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.32296443 -5.55111512e-17j]\n",
      " [ 0.00000000 +0.00000000e+00j  0.94589279 +3.24479322e-01j\n",
      "   0.92387953 +3.82683432e-01j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.91615063 +1.24900090e-16j]\n",
      " [ 0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.92387953 -3.82683432e-01j\n",
      "   0.00000000 +0.00000000e+00j  0.17778533 +0.00000000e+00j]\n",
      " [ 0.00000000 -0.00000000e+00j  0.00000000 -0.00000000e+00j\n",
      "  -0.99349829 -1.13847053e-01j -0.74054592 -6.72005754e-01j\n",
      "   0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j]]\n"
     ]
    }
   ],
   "source": [
    "ABCD = ds.realizeQNTF(ntf0, form, quadrature)\n",
    "adc['ABCD'] = ABCD.copy()\n",
    "print('ABCD matrix: \\n')\n",
    "print(ABCD)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate the STF\n",
    "\n",
    "This also recalculates the NTF, which is the same as before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ntf = \n",
      "\n",
      "  (z - 0.888 - 0.4598j) (z - 0.9239 + 0.3827j) (z - 0.9239 - 0.3827j) (z - 0.953 - 0.3028j)  \n",
      "---------------------------------------------------------------------------------------------\n",
      " (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n",
      "\n",
      "\n",
      "stf = \n",
      "\n",
      "                                                       (z - 0.9239 + 0.3827j)                                   \n",
      "(-0.0107 - 0.0505j)---------------------------------------------------------------------------------------------\n",
      "                    (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "//anaconda/lib/python2.7/site-packages/scipy/signal/filter_design.py:1055: BadCoefficients: Badly conditioned filter coefficients (numerator): the results may be meaningless\n",
      "  \"results may be meaningless\", BadCoefficients)\n"
     ]
    }
   ],
   "source": [
    "ntf, stf = ds.calculateTF(ABCD)\n",
    "print('ntf = \\n')\n",
    "print(ds.pretty_lti(ntf))\n",
    "print('\\n\\nstf = \\n')\n",
    "print(ds.pretty_lti(stf))\n",
    "# save ADC parameters\n",
    "adc['ntf'] = ntf\n",
    "adc['stf'] = stf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b22a150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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v/r6fh77ewt9HdePRcT0JDZJHXKF2KKW4vHc0824bwt4TBdzy0Vr2ZOR7WixB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\nG76sOzQe/XtHtyShWxRvrdjH9DE9XFJ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Fvhh/6e06N28OJ0448TTXw2h2Z0xzeTlkZEC7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\n2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      "text/plain": [
       "<matplotlib.figure.Figure at 0x107ff0790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(12,8))\n",
    "ds.DocumentNTF(ABCD, osr=32, f0=1./16, quadrature=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time-domain simulations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/joseph/work/repos/python-deltasigma/deltasigma/_figureMagic.py:111: UserWarning: figureMagic() got xLab=2, but xLab is not implemented and will be ignored.\n",
      "  'will be ignored.') % xLab)\n",
      "/Users/joseph/work/repos/python-deltasigma/deltasigma/_figureMagic.py:114: UserWarning: figureMagic() got yLab=2, but xLab is not implemented and will be ignored.\n",
      "  'will be ignored.') % yLab)\n"
     ]
    },
    {
     "data": {
      "image/png": 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joqKiGDt2LF9//XW+/I4ePZrMzEwiIyNp1aoVderU4cknn6R37975ajujo6OJ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\n5Zd55plnuPDCC1m9evUG2y1btow+ffoA0KdPH5ZE/cNWrVrFtddey7hx4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fu+PRL1lZtI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\ncgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d46e8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#setup the figure\n",
    "figure(figsize=(13, 5))\n",
    "subplot2grid((1, 3), (0, 0), colspan=2)\n",
    "# spectrum\n",
    "ds.PlotExampleSpectrum(ntf, M, osr, f0, quadrature)\n",
    "title('Example Spectrum')\n",
    "# SNR simulation\n",
    "subplot2grid((1, 3), (0, 2))\n",
    "snr, amp = ds.simulateSNR(ABCD, osr, None, f0, nlev)\n",
    "plot(amp, snr, 'ob')\n",
    "hold(True)\n",
    "ds.figureMagic((-100, 0), 10, 2, (0, 100), 10, 2)\n",
    "xlabel('Input Level (dBFS)')\n",
    "ylabel('SQNR (dB)')\n",
    "peak_snr, peak_amp = ds.peakSNR(snr, amp)\n",
    "adc['peak_snr'] = peak_snr\n",
    "msg = 'peak SQNR = %4.1fdB  \\n@ amp=%4.1fdB  ' % (peak_snr, peak_amp)\n",
    "text(peak_amp - 10, peak_snr, msg, ha='right', va='center')\n",
    "msg = 'OSR=%d ' % osr\n",
    "text(0, 5, msg, ha='right')\n",
    "title('SQNR Plot')\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ADC parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "f0:\n",
      "\t0.0625\n",
      "ABCD:\n",
      "\t[[ 0.88803720 +4.59771611e-01j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j\n",
      "   0.05160829 +0.00000000e+00j  0.05160829 +1.73472348e-18j]\n",
      " [ 0.60725927 +7.94503732e-01j  0.95304475 +3.02829501e-01j\n",
      "   0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.32296443 -5.55111512e-17j]\n",
      " [ 0.00000000 +0.00000000e+00j  0.94589279 +3.24479322e-01j\n",
      "   0.92387953 +3.82683432e-01j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.91615063 +1.24900090e-16j]\n",
      " [ 0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j\n",
      "   0.00000000 +0.00000000e+00j  0.92387953 -3.82683432e-01j\n",
      "   0.00000000 +0.00000000e+00j  0.17778533 +0.00000000e+00j]\n",
      " [ 0.00000000 -0.00000000e+00j  0.00000000 -0.00000000e+00j\n",
      "  -0.99349829 -1.13847053e-01j -0.74054592 -6.72005754e-01j\n",
      "   0.00000000 +0.00000000e+00j  0.00000000 +0.00000000e+00j]]\n",
      "stf:\n",
      "\t(array([ 0.92387953-0.38268343j]), array([ 0.57387778+0.5699217j ,  0.59125030+0.24490389j,\n",
      "        0.67307228-0.27879567j,  0.80878837+0.00279738j]), (-0.010659853046523615-0.05049538236535267j))\n",
      "form:\n",
      "\tPFB\n",
      "osr:\n",
      "\t32\n",
      "M:\n",
      "\t8\n",
      "quadrature:\n",
      "\tTrue\n",
      "peak_snr:\n",
      "\t[[ 84.61240252]]\n",
      "order:\n",
      "\t4\n",
      "ntf:\n",
      "\t(array([ 0.88803720+0.45977161j,  0.92387953-0.38268343j,\n",
      "        0.92387953+0.38268343j,  0.95304475+0.3028295j ]), array([ 0.57387778+0.5699217j ,  0.59125030+0.24490389j,\n",
      "        0.67307228-0.27879567j,  0.80878837+0.00279738j]), (1+0j))\n"
     ]
    }
   ],
   "source": [
    "for k in adc:\n",
    "    print('%s:' % k)\n",
    "    print('\\t'+str(adc[k]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Effect of example I/Q mismatch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PfAZuuw3GjQttm0Vsa2iAyy+Hd96B3FwoLtYf3oQQ0UuG948yMke6uSSe5vLFc9w4nfj+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7AAAg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1091bab10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.signal import freqz\n",
    "nd = ds._utils._get_num_den\n",
    "figure(figsize=(12, 5))\n",
    "ABCDr = ds.mapQtoR(ABCD)\n",
    "ABCDr[1, -1] = 1.01 * ABCDr[1, -1]\n",
    "H, G, HI, GI = ds.calculateQTF(ABCDr)\n",
    "f = ds.ds_freq(osr, f0, quadrature)\n",
    "w = 2 * np.pi * f\n",
    "NTF = freqz(*nd(H), worN=w)[1]\n",
    "INTF = freqz(*nd(HI), worN=w)[1]\n",
    "STF = freqz(*nd(G), worN=w)[1]\n",
    "ISTF = freqz(*nd(GI), worN=w)[1]\n",
    "plot(f, ds.dbv(NTF), 'b', lw=2, label='NTF')\n",
    "hold(True)\n",
    "plot(f, ds.dbv(INTF), 'c', lw=2, label='INTF')\n",
    "plot(f, ds.dbv(STF), 'm', lw=2, label='STF')\n",
    "plot(f, ds.dbv(ISTF), 'r', lw=2, label='ISTF')\n",
    "inband = (np.logical_and(f >= f0 - 0.5/osr, f <= f0 + 0.5/osr))\n",
    "# NG LEVEL\n",
    "ng = ds.dbp(np.mean(np.abs(NTF[inband])**2))\n",
    "plot(f0 + 0.5*np.array((-1, 1))/osr, ng*np.array((1, 1)), 'k', lw=3)\n",
    "msg = '  NG = %.0fdB ' % ng\n",
    "text(f0 + 0.5/osr, ng, msg, ha='left', va='center')\n",
    "# ING LEVEL\n",
    "ing = ds.dbp(np.mean(np.abs(INTF[inband])**2))\n",
    "plot([f0 - 0.5/osr, f0 +0.5/osr], [ing, ing], 'k', lw=3)\n",
    "msg = '  ING = %.0fdB ' % ing\n",
    "text(f0 + 0.5/osr, ing, msg, ha='left', va='center')\n",
    "# IRR LEVEL\n",
    "irr = np.min(ds.dbv(STF[inband]) - ds.dbv(ISTF[inband]))\n",
    "plot([f0 - 0.5/osr, f0 + 0.5/osr], [-irr, -irr], 'k', lw=3)\n",
    "msg = '  IRR = %.0fdB ' % irr\n",
    "text(f0 + 0.5/osr, -irr, msg, ha='left', va='center')\n",
    "ds.figureMagic((-0.5, 0.5), 2./16, 2, (-80, 15), 20, 2, None, 'Example I/Q Mismatch')\n",
    "xlabel('frequency')\n",
    "legend(loc=3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##Further information about NTF synthesis\n",
    "\n",
    "Please refer to `help(synthesizeNTF)` for detailed - and possibly more updated - documentation!\n",
    "\n",
    "`help(synthesizeNTF)` as of writing:\n",
    "\n",
    "**synthesizeQNTF**(order=4, OSR=64, f0=0.0, NG=-60, ING=-20, n_im=None)**\n",
    "\n",
    "Synthesize a noise transfer function for a quadrature modulator.\n",
    "\n",
    "**Parameters:**\n",
    "\n",
    "order : *int, optional*\n",
    "    The order of the modulator. Defaults to 4.\n",
    "\n",
    "OSR : *int, optional*\n",
    "    The oversampling ratio. Defaults to 64.\n",
    "\n",
    "f0 : *float, optional*\n",
    "    The center frequency, normalized such that $1 \\rightarrow f_s$.\n",
    "    Defaults to 0, ie to a low-pass modulator.\n",
    "\n",
    "NG : *float, optional*\n",
    "    The in-band noise gain, expressed in dB. Defaults to -60.\n",
    "\n",
    "ING : *float, optional*\n",
    "    The image-band noise gain, in dB. Defaults to -20.\n",
    "\n",
    "n_im : *int, optional*\n",
    "    The number of in-band image zeros, defaults to `floor(order/3)`.\n",
    "\n",
    "**Returns:**\n",
    "\n",
    "ntf : *(z, p, k) tuple*\n",
    "    `ntf` is a zpk tuple containing the zeros, poles and the gain of the\n",
    "    synthesized NTF.\n",
    "\n",
    ".. note::\n",
    "\n",
    "    From the Matlab Delta-Sigma Toobox:\n",
    "    ALPHA VERSION:\n",
    "    This function uses an experimental ad-hoc method that is\n",
    "    neither optimal nor robust.\n",
    "\n",
    "**Example:**\n",
    "\n",
    "Fourth order quadrature modulator::\n",
    "\n",
    "    from deltasigma import *\n",
    "    order = 4\n",
    "    osr = 32\n",
    "    NG = -50\n",
    "    ING = -10\n",
    "    f0 = 1 / 16\n",
    "    ntf0 = synthesizeQNTF(order, osr, f0, NG, ING)\n",
    "    pretty_lti(ntf0)\n",
    "\n",
    "**Returns:**\n",
    "\n",
    "```\n",
    "      (z - 0.888 - 0.4598j) (z - 0.9239 + 0.3827j) (z - 0.9239 - 0.3827j) (z - 0.953 - 0.3028j)  \n",
    "      ---------------------------------------------------------------------------------------------\n",
    "       (z - 0.5739 - 0.5699j) (z - 0.5913 - 0.2449j) (z - 0.6731 + 0.2788j) (z - 0.8088 - 0.0028j) \n",
    "       \n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
     "data": {
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       "Software versions": [
        {
         "module": "Python",
         "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]"
        },
        {
         "module": "IPython",
         "version": "3.2.1"
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        {
         "module": "OS",
         "version": "Darwin 14.4.0 x86_64 i386 64bit"
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        {
         "module": "numpy",
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         "module": "scipy",
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       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]</td></tr><tr><td>IPython</td><td>3.2.1</td></tr><tr><td>OS</td><td>Darwin 14.4.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.9.2</td></tr><tr><td>scipy</td><td>0.16.0</td></tr><tr><td>matplotlib</td><td>1.4.3</td></tr><tr><td>deltasigma</td><td>0.2.2</td></tr><tr><td colspan='2'>Fri Aug 07 16:34:50 2015 CEST</td></tr></table>"
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      "text/latex": [
       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n",
       "IPython & 3.2.1 \\\\ \\hline\n",
       "OS & Darwin 14.4.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.9.2 \\\\ \\hline\n",
       "scipy & 0.16.0 \\\\ \\hline\n",
       "matplotlib & 1.4.3 \\\\ \\hline\n",
       "deltasigma & 0.2.2 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Fri Aug 07 16:34:50 2015 CEST} \\\\ \\hline\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Software versions\n",
       "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n",
       "IPython 3.2.1\n",
       "OS Darwin 14.4.0 x86_64 i386 64bit\n",
       "numpy 1.9.2\n",
       "scipy 0.16.0\n",
       "matplotlib 1.4.3\n",
       "deltasigma 0.2.2\n",
       "Fri Aug 07 16:34:50 2015 CEST"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n",
    "%load_ext version_information\n",
    "%reload_ext version_information\n",
    "\n",
    "%version_information numpy, scipy, matplotlib, deltasigma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
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